After successful completion of the course, students are able to:

• formulate and analyze state space models for multivariable systems.
• linearize nonlinear multivariable systems.
• investigate the multivariable system with regard to controllability/observability and to transform it into controlability form.
• design linear control systems with the help of the method of pole placement
• perform a complete or partial decoupling of the multivariable control system.
• design a non-linear control or feedforward control by means of exact linearization.
• perform optimization-based control designs.

• State space models for MIMO systems,
• Linearization,
• Controllability and observability,
• Design of linear MIMO control systems using the method of pole placement,
• Decoupling,
• Exact linearization and design of nonlinear feedforward control schemes,
• Optimal control.

The VU is supported by extensive examples which are available as complete MATLAB/Simulink packages for the students (e.g. ESP control, damping of torsional vibrations, multi-tank system). The comprehensive use of MATLAB/Simulink should enable the participants to design complex multi-variable control systems and test them in simulation.

The course is designed interactively. In the lecture parts, the theoretical fundamentals are worked out and the knowledge imparted in this way is additionally vividly supported by practice-relevant problems. In numerous exercise examples the application of the previously theoretically mediated contents is clarified by calculation and simulation examples.

Two written exams

Lecture notes for this course are available. nstitut für Mechanik und Mechatronik, E 325, Abteilung für Regelungstechnik und Prozessautomatisierung Price: EUR 13.-

Recommended Book: Jan Lunze, Regelungstechnik 2: Mehrgrößensysteme, Digitale Regelung

The students should have a basic knowledge about state space control for SISO systems as presented in the courses "Prozessregelung", LVA-No. 325.001 or "Feedback Control", LVA-No. 325.055.